Math Chapter Wise question with answer

Q01 ∫ 2 2 dx sin x.cos x equals English · EMRS TGT-2023 Q02 If V = (x2 + y2 + z2)–1/2, then ∂ ∂ ∂ ∂ ∂ ∂ V V V x + y + z x y z is equal to English · UP PGT 2021 Q03 If u = sin–1 2 2 + y x, then x ∂ ∂ u u + y y x is equal to – English · UP PGT 2021 UP PCS (Pre) 1994 Rajsthan TGT 2011 Q04 () () () –1 x,y 2,1 sin xy – 2 lim tan 3xy – 6 → is equal to – English · UP PGT 2021 Q05 If ((())) ((()) u y ax y ax = φ + + ψ − = φ + + ψ − = φ + + ψ − = φ + + ψ − then 2 2 2 2 2 u u a x y ∂ ∂ − ∂ ∂ equa... English · PGT 2011 Q06 If 2 2 1 2 2 x y u sin x y − = + then u u x y ∂ ∂ + ∂ ∂ equal to English · PGT 2011